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Finding the Fourth Proportional to 104.28, 144.64 and 101.32

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Solution

The fourth proportional to 104.28, 144.64 and 101.32 is: 140.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.28 : 144.64 = 101.32 : x
  2. Step 2: Convert to fraction form
    104.28/144.64 = 101.32/x
  3. Step 3: Cross multiply
    104.28x = 144.64 × 101.32
  4. Step 4: Simplify right side
    104.28x = 14,654.92
  5. Step 5: Solve for x
    x = 14,654.92/104.28
  6. Step 6: Final answer
    x = 140.53

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.